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Finding the Fourth Proportional to 397,038, 547,912.44 and 218,190

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Solution

The fourth proportional to 397,038, 547,912.44 and 218,190 is: 301,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,038 : 547,912.44 = 218,190 : x
  2. Step 2: Convert to fraction form
    397,038/547,912.44 = 218,190/x
  3. Step 3: Cross multiply
    397,038x = 547,912.44 × 218,190
  4. Step 4: Simplify right side
    397,038x = 119,549,015,283.60
  5. Step 5: Solve for x
    x = 119,549,015,283.60/397,038
  6. Step 6: Final answer
    x = 301,102.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.